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Simplifying 0.009(4 + -1x) + 0.08(x + -2) = 1 (4 * 0.009 + -1x * 0.009) + 0.08(x + -2) = 1 (0.036 + -0.009x) + 0.08(x + -2) = 1 Reorder the terms: 0.036 + -0.009x + 0.08(-2 + x) = 1 0.036 + -0.009x + (-2 * 0.08 + x * 0.08) = 1 0.036 + -0.009x + (-0.16 + 0.08x) = 1 Reorder the terms: 0.036 + -0.16 + -0.009x + 0.08x = 1 Combine like terms: 0.036 + -0.16 = -0.124 -0.124 + -0.009x + 0.08x = 1 Combine like terms: -0.009x + 0.08x = 0.071x -0.124 + 0.071x = 1 Solving -0.124 + 0.071x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.124' to each side of the equation. -0.124 + 0.124 + 0.071x = 1 + 0.124 Combine like terms: -0.124 + 0.124 = 0.000 0.000 + 0.071x = 1 + 0.124 0.071x = 1 + 0.124 Combine like terms: 1 + 0.124 = 1.124 0.071x = 1.124 Divide each side by '0.071'. x = 15.83098592 Simplifying x = 15.83098592
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